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Possibility of Cyclic Turnarounds in Brane-World Scenario: Phantom Energy Accretion onto Black Holes and Its Consequences

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Abstract

A universe described by braneworlds is studied in a cyclic scenario. As expected such an oscillating universe will undergo turnarounds, whenever the phantom energy density reaches a critical value from either side. It is found that a universe described by RSII brane model will readily undergo oscillations if, either the brane tension, λ or the bulk cosmological constant, Λ 4 is negative. The DGP brane model does not readily undergo cyclic turnarounds. Hence for this model a modified equation is proposed to incorporate the cyclic nature. It is found that there is always a remanent mass of a black hole at the verge of a turnaround. Hence contrary to known results in literature, it is found that the destruction of black holes at the turnaround is completely out of question. Finally to alleviate, if not solve, the problem posed by the black holes, it is argued that the remanent masses of the black holes do not act as a serious defect of the model because of Hawking evaporation.

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Acknowledgements

The author acknowledges Mr. Ritabrata Biswas and Dr. Ujjal Debnath for helpful discussions. The author also thanks the anonymous referee for useful comments on the manuscript.

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  1. Department of Mathematics, Bengal Engineering and Science University, Shibpur, Howrah, 711 103, India

    Prabir Rudra

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  1. Prabir Rudra
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Correspondence to Prabir Rudra.

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Rudra, P. Possibility of Cyclic Turnarounds in Brane-World Scenario: Phantom Energy Accretion onto Black Holes and Its Consequences. Int J Theor Phys 51, 3514–3525 (2012). https://doi.org/10.1007/s10773-012-1238-z

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  • DOI: https://doi.org/10.1007/s10773-012-1238-z

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